Polar equation of a sphere?
1 Answer
Aug 4, 2017
In spherical coordinates you might write:
#r = c" "# for some constant#c > 0# .
Explanation:
Strictly speaking, polar coordinates are 2 dimensional. If you want to express 3 dimensional coordinates then you can use one of the following:
-
Rectangular coordinates, i.e. three ordinates
#x# ,#y# and#z# . -
Cylindrical coordinates, i.e. polar coordinates
#r# ,#theta# plus a#z# coordinate. -
Spherical coordinates. There are several different kinds of spherical coordinates, usually given as a triple
#r# ,#theta# ,#phi# . The different systems measure angles from the equator or the poles.
In any spherical coordinate system, the equation of a sphere is simply:
#r = c#
for some positive constant
